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3430605864 = 233766130893
BaseRepresentation
bin1100110001111010…
…1110010000101000
322212002021211112110
43030132232100220
524011213341424
61324225442320
7151004445240
oct31436562050
98762254473
103430605864
11150053aa64
127b8aa03a0
134289807ca
14247896b20
151512a0c29
hexcc7ae428

3430605864 has 64 divisors (see below), whose sum is σ = 9816877440. Its totient is φ = 978658560.

The previous prime is 3430605847. The next prime is 3430605869. The reversal of 3430605864 is 4685060343.

It is a super-2 number, since 2×34306058642 = 23538113188222372992, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (3430605869) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 95602 + ... + 126494.

It is an arithmetic number, because the mean of its divisors is an integer number (153388710).

Almost surely, 23430605864 is an apocalyptic number.

It is an amenable number.

3430605864 is an abundant number, since it is smaller than the sum of its proper divisors (6386271576).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

3430605864 is a wasteful number, since it uses less digits than its factorization.

3430605864 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 31570 (or 31566 counting only the distinct ones).

The product of its (nonzero) digits is 207360, while the sum is 39.

The square root of 3430605864 is about 58571.3741003231. The cubic root of 3430605864 is about 1508.1930733334.

The spelling of 3430605864 in words is "three billion, four hundred thirty million, six hundred five thousand, eight hundred sixty-four".

Divisors: 1 2 3 4 6 7 8 12 14 21 24 28 42 56 84 168 661 1322 1983 2644 3966 4627 5288 7932 9254 13881 15864 18508 27762 30893 37016 55524 61786 92679 111048 123572 185358 216251 247144 370716 432502 648753 741432 865004 1297506 1730008 2595012 5190024 20420273 40840546 61260819 81681092 122521638 142941911 163362184 245043276 285883822 428825733 490086552 571767644 857651466 1143535288 1715302932 3430605864